Make a conjecture about the properties of a regular polygon that tile the plane - why true?
Are these the ONLY ones? explain your reasoning
(For the smarty pants): are quadrilaterals with right angles the ONLY quadrilaterals that work? do other triangles work?
do these lead towards deductive reasoning?
Make a conjecture about the properties of the polygons that tessellate.
Why or what is it about the property that allow the polygon to tessellate?[[From induction to deduction#|Edit]]
QUESTIONS and CONCERNS for group: Is it possible to make the question about the regular polygon more open ended? For example, instead of hoping the kids will come up with conjectures, have a bunch of conjectures written down on magnetic sentence strips. Which ones are true? Why do you think so?
Can we do magnetic strips? Or maybe "sticky" notes that we could have them put on a poster sized sheet?
Maybe something like: (?)
Regular triangles do not tile the plane.
Regular triangles tile the plane.
Regular quadrilaterals tile the plane.
" " do not " " .
Any polygon with fewer than 9 sides will tile the plane.
" " 7 " " .
- Stacey
- (For the smarty pants): are quadrilaterals with right angles the ONLY quadrilaterals that work? do other triangles work?
do these lead towards deductive reasoning?Make a conjecture about the properties of the polygons that tessellate.
Why or what is it about the property that allow the polygon to tessellate?[[From induction to deduction#|Edit]]
QUESTIONS and CONCERNS for group:
Is it possible to make the question about the regular polygon more open ended? For example, instead of hoping the kids will come up with conjectures, have a bunch of conjectures written down on magnetic sentence strips. Which ones are true? Why do you think so?
- Can we do magnetic strips? Or maybe "sticky" notes that we could have them put on a poster sized sheet?
- Maybe something like: (?)
Regular triangles do not tile the plane.Regular triangles tile the plane.
Regular quadrilaterals tile the plane.
" " do not " " .
Any polygon with fewer than 9 sides will tile the plane.
" " 7 " " .
- Stacey